The game of dots is played by rolling a fair die and receiving $1 for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be consdiered a fair game?

Answer 1

How many outcomes are there when we throw a 6-faced die?
How many dots are there for each outcome?
Add up the dots for each outcome and divide by the number of outcomes would give you an "average" payout, which you could use for the fair cost of each roll.